1. an escalator lifts people to the second floor of a building, 27 ft above the first floor. the escalator rises at a 30degrees angle. to the nearest foot, how far does a person travel from the bottom to the top of the escalator?

2. a helicopter hovers 650

feet above a small island. the figure shows that the angle of depression from the helicopter to point p is 41 degrees .

how far off the coast, to the nearest foot, is the island?

b= - ft

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc